Simplify f(x)and find any vertical asymptotes. $$f ( x ) = \frac { x ^ { 2 } - 4 } { x + 2 }$$
A)f(x)= -x + 2;no vertical asymptotes
B)f(x)= x;no vertical asymptotes
C)f(x)= -x - 2;no vertical asymptotes
D)f(x)= x - 2;no vertical asymptotes
E)f(x)= x + 2;no vertical asymptotes

Question

Simplify f(x)and find any vertical asymptotes. ​​ $$f ( x ) = \frac { x ^ { 2 } - 4 } { x + 2 }$$ ​
A)f(x)= -x + 2;no vertical asymptotes
B)f(x)= x;no vertical asymptotes
C)f(x)= -x - 2;no vertical asymptotes
D)f(x)= x - 2;no vertical asymptotes
E)f(x)= x + 2;no vertical asymptotes

Quizplus · Accepted Answer

The function $f(x) = \frac{x^2 - 4}{x + 2}$ simplifies to $f(x) = x - 2$ after factoring the numerator as $(x - 2)(x + 2)$ and canceling out the $(x + 2)$ term in the numerator and denominator. Since the cancellation removes the denominator, there are no vertical asymptotes.

Simplify F(x)and Find Any Vertical Asymptotes f(x)=x2−4x+2f ( x ) = \frac { x ^ { 2 } - 4 } { x + 2 }f(x)=x+2x2−4​

Simplify F(x)and Find Any Vertical Asymptotes $f ( x ) = \frac { x ^ { 2 } - 4 } { x + 2 }$